I got my replacement phone yesterday.
It's actually worse. At least with my first 7+ it worked for 3 days until I put it in Airplane Mode. Then my problems began.
The new one was fine last night but this morning "No Service".
I played with it on the way to work, stopping under a cell tower at 5 bars on my 6+ and power cycling the 7+, it came back and connected. At one point the 6+ had 5 bars and the 7+ had 1... then "No Service".
It came and went all the way to work, an hour drive in traffic this morning.
At the office it dropped to 1 bar LTE in the elevator and when I came out, went to No Service, while the 6+ went from AT&T 4G (which is really 3G), back to 4-5 bars LTE.
By the time I got to my desk the 7+ did come back.
On my way in I had turned off Voice over LTE and Location Services just to see if that had any effect.
While sitting at my cube, 4 bars LTE on both phones, the 7+ suddenly switched to "No Service" again and nothing I did would make it come back, except power cycling. While it connects after a power cycle, it eventually drops to "No Service" again. Just sitting still in a 4-5 bar service area. 😟
Apple seems to have really screwed the pooch with this and I'm not pleased. I'm paying for a very expensive iPod basically. It's not a cellular device in any reliable sense.